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Given the location of the centre of mass...

Given the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie on the body ?

Text Solution

Verified by Experts

In all the four cases, as the mass density is uniform, centre of mass is located at their respective geometrical centres.
No, it is not necessary that the centre of mass of a body should lie on the body. For example, in case of a circular ring, centre of mass is at the centre of the ring, where there is no mass.
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Knowledge Check

  • The centre of mass of rigid body cannot lie

    A
    inside the body always
    B
    outside the body always.
    C
    always on its surface
    D
    at two points.
  • The centre of mass of a body lies

    A
    on its surface
    B
    inside the body
    C
    outside the body
    D
    'b' and 'c'
  • On applying force to the centre of mass of a body one of the following is present in the body?

    A
    rotation
    B
    inear acceleration
    C
    angular velocity
    D
    angular acceleration
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